Finite Group Databasebeta

← #28293046

Subgroups — #28293046

Order 13568.

6428 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289322C214yesmaximal, complemented
2#20289311C214yesmaximal, complemented
3#20289208C212yesmaximal, complemented
4#20289198C214yesmaximal, complemented
5#20289190C214yesmaximal, complemented
6#20289124C212yesmaximal, complemented
7#20288963C212yesmaximal, complemented
8#20288958C212yesmaximal, complemented
9#20288807C214yesmaximal, complemented
10#20288805C214yesmaximal, complemented
11#20288601C211yesmaximal, characteristic, complemented
12#20288594C212yesmaximal, complemented
13#20288594C212yesmaximal, complemented
14#20288594C212yesmaximal, complemented
15#20288574C214yesmaximal, complemented
16#20288531C212yesmaximal, complemented
17#20288527C212yesmaximal, complemented
18#20288522C214yesmaximal, complemented
19#20288466C214yesmaximal, complemented
20#20288460C214yesmaximal, complemented
21#20288008C211yesmaximal, characteristic
22#533×D53C212yesmaximal, complemented
23C53×#3509C211yesmaximal, characteristic, complemented
24C53⋊#564C2218yescomplemented
25#16811376C2214yes—
26#16811376C2214yescomplemented
27#16811375C2218yes—
28#16811373C2214yes—
29#16811372C2214yescomplemented
30#16811357C2214yescomplemented
31Q8×Dic106C2214yescomplemented
32#16811353C2214yescomplemented
33#16811353C2214yescomplemented
34#16811351C2214yescomplemented
35#16811351C2218yescomplemented
36#16811351C2214yescomplemented
37#16811350C2218yescomplemented
38#16811350C2214yescomplemented
39#16811350C2218yescomplemented
40#16811350C2214yescomplemented
41#16811350C2214yescomplemented
42#16811349C2214yescomplemented
43#16811349C2214yescomplemented
44#16811349C2214yescomplemented
45#16811348C2214yescomplemented
46#16811344C2214yes—
47#16811344C2214yescomplemented
48#16811344C2214yescomplemented
49#16811343C2214yes—
50#16811341C2214yes—
51#16811341C2218yescomplemented
52#16811341C2214yescomplemented
53#16811341C2214yescomplemented
54#16811340C2218yescomplemented
55#16811334C2214yes—
56#16811333C2214yes—
57#16811331C2214yes—
58#16811331C2214yescomplemented
59#16811328C2214yes—
60#16811328C2214yescomplemented
61#16811314C2218yes—
62#16811314C2214yes—
63#16811314C2214yes—
64#16811314C2214yescomplemented
65#16811313C2214yes—
66#16811313C2214yescomplemented
67#16811312C2218yes—
68#16811312C2214yes—
69#16811312C2214yes—
70#16811312C2214yes—
71#16811311C2214yes—
72#16811311C2214yes—
73#16811311C2214yescomplemented
74#16811309C2218yes—
75#16811307C2214yes—
76#16811307C2214yes—
77#16811307C2214yes—
78#16811305C2218yes—
79#16811303C2214yes—
80#16811301C2214yes—
81#16811298C2218yes—
82Q8×D212C2214yes—
83#16811288C2214yes—
84Q8×C22⋊D53C2214yes—
85Q8×C22⋊D53C2214yescomplemented
86#16811286C2214yes—
87#16811286C2214yescomplemented
88#16811254C2214yescomplemented
89#16811253C2214yes—
90#16811253C2218yes—
91#16811253C2214yescomplemented
92#16811251C2214yescomplemented
93#16811250C2214yes—
94#16811250C2218yes—
95#16811250C2214yescomplemented
96#16811241C2218yes—
97#16811237C2218yes—
98#16811235C2212yes—
99#16811235C2212yescomplemented
100#16811235C2218yescomplemented
101#16811233C2214yes—
102#16811233C2214yescomplemented
103#16811233C2214yescomplemented
104#16811232C2218yescomplemented
105#16811231C2218yescomplemented
106#16811231C2214yescomplemented
107#16811231C2214yescomplemented
108#16811231C2214yescomplemented
109#16811230C2218yes—
110#16811230C2218yes—
111#16811230C2218yescomplemented
112#16811221C2218yes—
113#16811216C2218yes—
114#16811196C2214yes—
115#16811196C2214yes—
116#16811196C2214yes—
117#16811194C2212yes—
118#16811180C2212yes—
119#16811180C2212yescomplemented
120#16811180C2211yescharacteristic, complemented
121#16811179C2214yes—
122#16811179C2218yes—
123#16811178C2212yes—
124#16811178C2212yes—
125#16811178C2212yescomplemented
126#16811178C2212yescomplemented
127#16811178C2212yescomplemented
128#16811177C2214yes—
129#16811177C2214yes—
130#16811177C2212yes—
131#16811177C2218yes—
132#16811176C2214yes—
133#16811176C2211yescharacteristic
134#16811175C2214yes—
135#16811175C2214yes—
136#16811170C2212yes—
137#16811169C2211yescharacteristic
138C2×#13133217C2211yescharacteristic, complemented
139C4⋊Q8×D53C2212yes—
140C4⋊Q8×D53C2212yes—
141C4⋊Q8×D53C2212yescomplemented
142#16811160C2212yes—
143#16811156C2218yes—
144#16811155C2212yes—
145#16811153C2212yes—
146#16811153C2212yes—
147#16811151C2212yes—
148#16811151C2212yes—
149#16811151C2218yes—
150#125×D53C2214yes—
151#16811135C2211yescharacteristic
152#16811132C2212yes—
153#16811132C2212yes—
154#16811130C2211yescharacteristic
155C22⋊Q8×D53C2214yes—
156C22⋊Q8×D53C2214yes—
157#16811104C2214yes—
158#16811103C2214yes—
159#16811100C2212yescomplemented
160#16811099C2214yes—
161#16811099C2214yes—
162#16811099C2214yescomplemented
163C4×#11719945C2212yes—
164C4×#11719945C2212yes—
165C4×#11719945C2211yescharacteristic
166C4×Q8×D53C2214yes—
167C4×Q8×D53C2214yes—
168#117×D53C2214yes—
169C2×C42×D53C2211yescharacteristic
170C53×#557C2214yescomplemented
171C53×#556C2214yes—
172C53×#552C2214yes—
173C53×#552C2214yescomplemented
174C53×#541C2212yes—
175C53×#541C2212yescomplemented
176C53×#536C2212yes—
177C53×#533C2212yes—
178C53×#533C2212yescomplemented
179C53×#533C2211yescharacteristic, complemented
180C2×C4⋊Q8×C53C2211yescharacteristic, complemented
181C53×#519C2212yescomplemented
182C4×#41×C53C2211yescharacteristic
183C2×#11719945C2312yes—
184C2×#11719945C2312yes—
185C2×#11719945C2311yescharacteristic
186C22×Dic106C2312yes—
187C2×Q8×D53C2314yes—
188C2×Q8×D53C2314yes—
189C2×Q8×D53C2314yes—
190C22×C4×D53C2312yes—
191C22×C4×D53C2311yescharacteristic
192#13133217C2312yes—
193#13133217C2318yes—
194#13133217C2314yes—
195#13133217C2312yes—
196#13133217C2312yes—
197#13133216C2318yes—
198#13133216C2318yes—
199#13133216C2318yes—
200#13133216C2314yes—
201#13133216C2314yes—
202#13133216C2314yes—
203#13133216C2318yes—
204#13133216C2314yes—
205#13133216C2314yes—
206#13133216C2318yes—
207#13133216C2318yes—
208#13133216C2312yes—
209#13133216C2314yes—
210#13133215C2314yes—
211#13133215C2314yes—
212#13133215C2318yes—
213#13133215C2318yes—
214#13133215C2314yes—
215#13133215C2311yescharacteristic
216#13133215C2314yes—
217#13133213C2311yescharacteristic
218#13133212C2318yes—
219#13133212C2318yes—
220#13133212C2318yes—
221#13133212C2312yes—
222#13133212C2312yes—
223#13133211C2318yes—
224#13133211C2318yes—
225#13133211C2318yes—
226#13133210C2318yes—
227#13133210C2318yes—
228#13133210C2318yes—
229#13133210C2318yes—
230#13133210C2318yes—
231#13133210C2318yes—
232#13133210C2318yes—
233#13133210C2318yes—
234#13133210C2312yes—
235#13133210C2312yes—
236#13133209C2318yes—
237#13133209C2318yes—
238#13133209C2318yes—
239#13133209C2318yes—
240#13133209C2314yes—
241#13133209C2314yes—
242#13133209C2312yes—
243#13133208C2314yes—
244#13133208C2314yes—
245#13133208C2314yes—
246#13133208C2318yes—
247#13133208C2318yes—
248#13133208C2318yes—
249#13133208C2318yes—
250#13133208C2312yes—
251#13133208C2314yes—
252#13133208C2314yes—
253#13133207C2318yes—
254#13133207C2318yes—
255#13133207C2318yes—
256#13133207C2318yes—
257#13133207C2318yes—
258#13133207C2318yes—
259#13133207C2318yes—
260#13133207C2318yes—
261#13133207C2318yes—
262#13133207C2318yes—
263#13133207C2318yes—
264#13133207C2318yes—
265#13133207C2312yes—
266#13133207C2312yes—
267#13133207C2318yes—
268#13133207C2318yes—
269#13133206C2311yescharacteristic
270#13133204C2314yes—
271#13133204C2311yescharacteristic
272#13133203C2318yes—
273#13133203C2312yes—
274#13133203C2318yes—
275#13133203C2312yes—
276#13133203C2318yes—
277#13133202C2318yes—
278#13133202C2318yes—
279#13133202C2312yes—
280#13133202C2318yes—
281#13133202C2312yes—
282#13133201C2312yes—
283#13133199C2318yes—
284#13133199C2318yes—
285#13133199C2318yes—
286#13133199C2312yes—
287#13133199C2312yes—
288#13133198C2314yes—
289#13133198C2314yes—
290#13133198C2311yescharacteristic
291#13133198C2311yescharacteristic
292#13133197C2314yes—
293#13133197C2314yes—
294#13133197C2318yes—
295#13133197C2318yes—
296#13133197C2314yes—
297#13133197C2314yes—
298#13133197C2314yes—
299#13133197C2312yes—
300#13133196C2314yes—
301#13133196C2318yes—
302#13133196C2318yes—
303#13133196C2314yes—
304#13133196C2314yes—
305#13133196C2314yes—
306#13133196C2314yes—
307#13133195C2318yes—
308#13133195C2318yes—
309#13133195C2318yes—
310#13133195C2318yes—
311#13133195C2318yes—
312#13133195C2318yes—
313#13133195C2312yes—
314#13133195C2312yes—
315#13133194C2318yes—
316#13133194C2318yes—
317#13133194C2318yes—
318#13133194C2318yes—
319#13133194C2312yes—
320#13133194C2312yes—
321#13133193C2314yes—
322#13133193C2318yes—
323#13133193C2314yes—
324#13133193C2318yes—
325#13133193C2314yes—
326#13133193C2314yes—
327#13133193C2314yes—
328#13133193C2312yes—
329#13133192C2312yes—
330#13133190C2312yes—
331#13133190C2312yes—
332#13133189C2312yes—
333#13133189C2312yes—
334#13133188C2312yes—
335#13133187C2312yes—
336#13133185C2311yescharacteristic
337#13133185C2311yescharacteristic
338Q8×Dic53C2314yes—
339Q8×Dic53C2314yes—
340Q8×Dic53C2314yes—
341Q8×Dic53C2314yes—
342Q8×Dic53C2314yes—
343C4×Dic106C2314yes—
344C4×Dic106C2318yes—
345C4×Dic106C2314yes—
346C4×Dic106C2314yes—
347C4×Dic106C2314yes—
348C4×Dic106C2318yes—
349C4×Dic106C2318yes—
350C4×Dic106C2318yes—
351C4×Dic106C2318yes—
352C4×Dic106C2314yes—
353C4×Dic106C2318yes—
354C4×Dic106C2312yes—
355C4×Dic106C2312yes—
356C4×Dic106C2312yes—
357C4×Dic106C2312yes—
358C4×Dic106C2312yes—
359#13133182C2314yes—
360#13133182C2314yes—
361#13133182C2318yes—
362#13133182C2314yes—
363#13133182C2314yes—
364#13133182C2318yes—
365#13133182C2314yes—
366#13133182C2318yes—
367#13133182C2318yes—
368#13133182C2318yes—
369#13133182C2318yes—
370#13133182C2318yes—
371C4×D212C2312yes—
372C4×D212C2312yes—
373C4×D212C2318yes—
374C4×D212C2312yes—
375C4×D212C2312yes—
376C4×D212C2312yes—
377#13133179C2318yes—
378C4×C22⋊D53C2312yes—
379C4×C22⋊D53C2312yes—
380C4×C22⋊D53C2312yes—
381C4×C22⋊D53C2318yes—
382C4×C22⋊D53C2312yes—
383C4×C22⋊D53C2318yes—
384C4×C22⋊D53C2312yes—
385C4×C22⋊D53C2312yes—
386C4×C22⋊D53C2312yes—
387C4×C22⋊D53C2312yes—
388C4×C22⋊D53C2312yes—
389C4×C22⋊D53C2312yes—
390#13133177C2318yes—
391#13133177C2318yes—
392#13133176C2312yes—
393#13133176C2314yes—
394#13133176C2314yes—
395#13133176C2311yescharacteristic
396#13133176C2312yes—
397#13133176C2312yes—
398#13133175C2318yes—
399#13133175C2318yes—
400#13133175C2318yes—
401#13133175C2314yes—
402#13133175C2314yes—
403#13133175C2314yes—
404#13133175C2314yes—
405#13133175C2314yes—
406#13133174C2318yes—
407#13133174C2318yes—
408#13133174C2318yes—
409#13133174C2318yes—
410#13133174C2312yes—
411#13133174C2312yes—
412#13133174C2312yes—
413#13133174C2312yes—
414#13133174C2312yes—
415#13133173C2318yes—
416#13133173C2318yes—
417C2×C4⋊Dic53C2314yes—
418C4⋊C4×D53C2318yes—
419C4⋊C4×D53C2314yes—
420C4⋊C4×D53C2314yes—
421C4⋊C4×D53C2314yes—
422C4⋊C4×D53C2314yes—
423C4⋊C4×D53C2314yes—
424C4⋊C4×D53C2314yes—
425C4⋊C4×D53C2318yes—
426C22⋊C4×D53C2318yes—
427C2×C4×Dic53C2312yes—
428C2×C4×Dic53C2311yescharacteristic
429C42×D53C2312yes—
430C42×D53C2312yes—
431C42×D53C2312yes—
432C42×D53C2312yes—
433C42×D53C2318yes—
434C42×D53C2312yes—
435C2×#41×C53C2311yescharacteristic
436C22×Q8×C53C2312yes—
437C4⋊Q8×C53C2312yes—
438C4⋊Q8×C53C2312yes—
439C4⋊Q8×C53C2314yes—
440C4⋊Q8×C53C2312yes—
441C4⋊Q8×C53C2314yes—
442#126×C53C2318yes—
443#126×C53C2318yes—
444#125×C53C2318yes—
445#125×C53C2312yes—
446#125×C53C2314yes—
447#125×C53C2314yes—
448#125×C53C2318yes—
449#124×C53C2314yes—
450#123×C53C2314yes—
451#123×C53C2314yes—
452C22⋊Q8×C53C2314yes—
453C22⋊Q8×C53C2314yes—
454C22⋊Q8×C53C2314yes—
455C22⋊Q8×C53C2314yes—
456C22⋊Q8×C53C2314yes—
457C4×Q8×C53C2314yes—
458C4×Q8×C53C2312yes—
459C4×Q8×C53C2314yes—
460C4×Q8×C53C2318yes—
461C4×Q8×C53C2314yes—
462C4×Q8×C53C2314yes—
463C4×Q8×C53C2314yes—
464C4×D4×C53C2312yes—
465C4×D4×C53C2312yes—
466C4×D4×C53C2312yes—
467#117×C53C2311yescharacteristic
468#117×C53C2311yescharacteristic
469#117×C53C2311yescharacteristic
470#117×C53C2312yes—
471#117×C53C2318yes—
472#117×C53C2314yes—
473#117×C53C2314yes—
474C2×C4⋊C4×C53C2314yes—
475C2×C42×C53C2311yescharacteristic
476C2×C42×C53C2311yescharacteristic
477C2×C42×C53C2311yescharacteristic
478C23×D53C2411yescharacteristic
479#41×C53—42no—
480C2×Q8×C53—44no—
481C2×Q8×C53C2414yes—
482C2×Q8×C53C2414yes—
483C2×Q8×C53C2414yes—
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53C2412yes—
489C22×C4×C53C2411yescharacteristic
490C22×C4×C53C2412yes—
491C22×C4×C53C2412yes—
492C22×C4×C53C2411yescharacteristic
493C22×C4×C53C2411yescharacteristic
494C22×C4×C53C2414yes—
495C2×C22⋊D53C2412yes—
496C2×C22⋊D53C2412yes—
497C2×C22⋊D53C2412yes—
498C2×C22⋊D53C2412yes—
499C2×C22⋊D53C2412yes—
500C22×Dic53C2412yes—
501C22×Dic53C2411yescharacteristic
502C22×Dic53C2414yes—
503Q8×D53—216no—
504Q8×D53—48no—
505Q8×D53—48no—
506#11719945—28no—
507#11719945—28no—
508#11719945—42no—
509C2×D212C2412yes—
510C2×D212C2412yes—
511C2×D212C2411yescharacteristic
512C2×C4×D53—28no—
513C2×C4×D53—42no—
514C2×C4×D53C2412yes—
515C2×C4×D53C2412yes—
516C2×C4×D53C2412yes—
517C2×C4×D53C2412yes—
518C2×C4×D53C2418yes—
519C2×C4×D53C2412yes—
520C2×C4×D53C2412yes—
521C2×C4×D53C2412yes—
522C2×C4×D53C2412yes—
523C2×C4×D53C2418yes—
524C2×C4×D53C2418yes—
525C2×C4×D53C2412yes—
526C2×Dic106—44no—
527C2×Dic106C2412yes—
528C2×Dic106C2418yes—
529C2×Dic106C2414yes—
530C2×Dic106C2414yes—
531C2×Dic106C2412yes—
532C2×Dic106C2414yes—
533C2×Dic106C2418yes—
534C2×Dic106C2418yes—
535C2×Dic106C2411yescharacteristic
536C4⋊C4×C53C2414yes—
537C4⋊C4×C53C2414yes—
538C4⋊C4×C53C2418yes—
539C4⋊C4×C53C2414yes—
540C4⋊C4×C53C2412yes—
541C4⋊C4×C53C2412yes—
542C4⋊C4×C53C2412yes—
543C4⋊C4×C53C2414yes—
544C4⋊C4×C53C2418yes—
545C4⋊C4×C53C2418yes—
546C4⋊C4×C53C2418yes—
547C4⋊C4×C53C2418yes—
548C4⋊C4×C53C2418yes—
549C22⋊C4×C53C2412yes—
550C22⋊C4×C53C2414yes—
551C22⋊C4×C53C2412yes—
552C22⋊C4×C53C2412yes—
553C22⋊C4×C53C2418yes—
554C22⋊C4×C53C2418yes—
555C42×C53C2411yescharacteristic
556C42×C53C2411yescharacteristic
557C42×C53C2411yescharacteristic
558C42×C53C2411yescharacteristic
559C42×C53C2412yes—
560C42×C53C2412yes—
561C42×C53C2412yes—
562C42×C53C2418yes—
563C42×C53C2418yes—
564C42×C53C2414yes—
565C22⋊Dic53C2418yes—
566C22⋊Dic53C2414yes—
567C22⋊Dic53C2411yescharacteristic
568C22⋊Dic53C2411yescharacteristic
569C22⋊Dic53C2412yes—
570C22⋊Dic53C2412yes—
571C22⋊Dic53C2412yes—
572C22⋊Dic53C2412yes—
573C22⋊Dic53C2418yes—
574#11719921C2418yes—
575#11719921C2418yes—
576#11719921C2412yes—
577#11719921C2412yes—
578#11719921C2412yes—
579#11719921C2412yes—
580#11719921C2412yes—
581#11719921C2412yes—
582#11719921C2418yes—
583#11719921C2412yes—
584#11719921C2412yes—
585#11719921C2412yes—
586#11719921C2412yes—
587#11719921C2418yes—
588#11719921C2418yes—
589C4⋊Dic53C2414yes—
590C4⋊Dic53C2414yes—
591C4⋊Dic53C2414yes—
592C4⋊Dic53C2414yes—
593C4⋊Dic53C2418yes—
594C4⋊Dic53C2418yes—
595C4⋊Dic53C2418yes—
596C4⋊Dic53C2418yes—
597C4⋊Dic53C2418yes—
598C4⋊Dic53C2418yes—
599C4⋊Dic53C2412yes—
600C4⋊Dic53C2412yes—
601C4⋊Dic53C2412yes—
602C4⋊Dic53C2412yes—
603C4⋊Dic53C2412yes—
604#11719919C2418yes—
605#11719919C2418yes—
606#11719919C2418yes—
607#11719919C2418yes—
608#11719919C2418yes—
609#11719919C2418yes—
610#11719919C2418yes—
611#11719919C2418yes—
612#11719919C2418yes—
613#11719919C2418yes—
614#11719919C2418yes—
615#11719919C2412yes—
616#11719919C2412yes—
617#11719919C2412yes—
618#11719919C2412yes—
619#11719919C2412yes—
620#11719919C2412yes—
621#11719919C2412yes—
622#11719919C2412yes—
623#11719919C2412yes—
624#11719919C2412yes—
625#11719919C2418yes—
626#11719919C2418yes—
627#11719919C2418yes—
628#11719919C2418yes—
629#11719919C2418yes—
630C4×Dic53C2412yes—
631C4×Dic53C2412yes—
632C4×Dic53C2412yes—
633C4×Dic53C2411yescharacteristic
634C4×Dic53C2412yes—
635C4×Dic53C2412yes—
636C4×Dic53C2411yescharacteristic
637C4×Dic53C2418yes—
638C4×Dic53C2418yes—
639C4×Dic53C2418yes—
640C4×Dic53C2412yes—
641C4×Dic53C2412yes—
642C4×Dic53C2412yes—
643C4×Dic53C2418yes—
644C4×Dic53C2418yes—
645C4×Dic53C2418yes—
646C4×Dic53C2418yes—
647C4×Dic53C2414yes—
648C23×C53C2511yescharacteristic
649C23×C53C2511yescharacteristic
650C23×C53C2511yescharacteristic
651C22×D53—24no—
652C22×D53—41no—
653C22×D53C2512yes—
654C22×D53C2512yes—
655Q8×C53—28no—
656Q8×C53—28no—
657Q8×C53—44no—
658Q8×C53—41no—
659D4×C53—41no—
660D4×C53—41no—
661D4×C53—41no—
662C2×C4×C53—24no—
663C2×C4×C53—24no—
664C2×C4×C53—24no—
665C2×C4×C53—22no—
666C2×C4×C53—22no—
667C2×C4×C53—22no—
668C2×C4×C53—44no—
669C2×C4×C53C2511yescharacteristic
670C2×C4×C53C2518yes—
671C2×C4×C53C2511yescharacteristic
672C2×C4×C53C2518yes—
673C2×C4×C53C2512yes—
674C2×C4×C53C2512yes—
675C2×C4×C53C2512yes—
676C2×C4×C53C2511yescharacteristic
677C2×C4×C53C2512yes—
678C2×C4×C53C2511yescharacteristic
679C22⋊D53—24no—
680C22⋊D53—24no—
681C22⋊D53—24no—
682C22⋊D53—24no—
683C22⋊D53—42no—
684C2×Dic53—24no—
685C2×Dic53—44no—
686C2×Dic53—41no—
687C2×Dic53C2512yes—
688C2×Dic53C2518yes—
689C2×Dic53C2512yes—
690C2×Dic53C2518yes—
691C2×Dic53C2512yes—
692C2×Dic53C2512yes—
693C2×Dic53C2512yes—
694C2×Dic53C2512yes—
695D212—24no—
696D212—24no—
697D212—41no—
698C4×D53—24no—
699C4×D53—216no—
700C4×D53—24no—
701C4×D53—24no—
702C4×D53—24no—
703C4×D53—24no—
704C4×D53—24no—
705C4×D53—24no—
706C4×D53—42no—
707C4×D53—48no—
708C4×D53—48no—
709C4×D532−1+418yes—
710Dic106—28no—
711Dic106—28no—
712Dic106—24no—
713Dic106—24no—
714Dic106—216no—
715Dic106—44no—
716Dic106—41no—
717Dic106—48no—
718Dic106—48no—
719#62837—531nomaximal, Sylow
720C22×C53—22no—
721C22×C53—22no—
722C22×C53—22no—
723C22×C53—21no—
724C22×C53—21no—
725C22×C53—21no—
726C22×C53C2611yescharacteristic
727C2×D53—22no—
728C2×D53—22no—
729C2×D53—22no—
730C2×D53—22no—
731C2×D53—22no—
732C2×D53—44no—
733C2×D53C2×2−1+414yes—
734C4×C53—28no—
735C4×C53—22no—
736C4×C53—22no—
737C4×C53—22no—
738C4×C53—21no—
739C4×C53—28no—
740C4×C53—21no—
741C4×C53—21no—
742C4×C53C2×2−1+414yes—
743C4×C53#58512yes—
744Dic53—28no—
745Dic53—22no—
746Dic53—22no—
747Dic53—22no—
748Dic53—28no—
749Dic53—22no—
750Dic53—22no—
751Dic53C2×2−1+414yes—
752#3563—534no—
753#3563—534no—
754#3556—532no—
755#3555—534no—
756#3555—534no—
757#3550—532no—
758#3538—532no—
759#3538—532no—
760#3523—534no—
761#3523—534no—
762#3509—532no—
763#3509—532no—
764#3509—532no—
765#3509—531no—
766#3509D5311yescharacteristic, complemented
767#3507—534no—
768#3503—532no—
769#3503—532no—
770#3502—534no—
771#3495—534no—
772#3495—534no—
773#3444—531no—
774C2×#533—532no—
775C2×C53—41no—
776C2×C53—41no—
777C2×C53—41no—
778C2×C53C22×2−1+412yes—
779C2×C53C2×#58511yescharacteristic
780D53—24no—
781D53—42no—
782#564—538no—
783#563—534no—
784#563—538no—
785#563—534no—
786#563—534no—
787#563—534no—
788#559—534no—
789Q82—534no—
790Q82—534no—
791Q82—534no—
792#557—534no—
793#557—538no—
794#557—534no—
795#557—534no—
796#557—538no—
797#557—534no—
798#557—534no—
799#557—534no—
800#557—534no—
801#557—534no—
802#557—538no—
803#557—534no—
804#557C2×D5314yescomplemented
805#556—538no—
806#556—534no—
807#556—534no—
808#556—534no—
809#556—534no—
810#556—534no—
811#556—534no—
812#556—538no—
813#556—534no—
814#556C2×D5314yes—
815#554—534no—
816#554—534no—
817#554—534no—
818#554—534no—
819#554—534no—
820#554—534no—
821#552—538no—
822#552—538no—
823#552—534no—
824#552—534no—
825#552—534no—
826#552—534no—
827#552—534no—
828#552—534no—
829#552—534no—
830#552—538no—
831#552—534no—
832#552—534no—
833#552—534no—
834#552—534no—
835#552—534no—
836#552—534no—
837#552—538no—
838#552—534no—
839#552C2×D5314yes—
840#552C2×D5314yescomplemented
841#551—538no—
842#551—534no—
843#551—534no—
844D4×Q8—534no—
845D4×Q8—534no—
846D4×Q8—534no—
847D4×Q8—534no—
848D4×Q8—534no—
849D4×Q8—534no—
850#544—534no—
851#544—538no—
852#544—534no—
853#544—534no—
854#544—538no—
855#544—534no—
856#544—534no—
857#544—534no—
858#542—538no—
859#542—538no—
860#541—538no—
861#541—538no—
862#541—538no—
863#541—538no—
864#541—534no—
865#541—534no—
866#541—534no—
867#541—534no—
868#541—534no—
869#541—534no—
870#541—538no—
871#541—532no—
872#541—532no—
873#541—538no—
874#541C2×D5312yes—
875#541C2×D5312yescomplemented
876#539—538no—
877#539—538no—
878#536—532no—
879#536—534no—
880#536—534no—
881#536—534no—
882#536C2×D5312yes—
883#533—532no—
884#533—532no—
885#533—532no—
886#533—532no—
887#533—532no—
888#533—534no—
889#533—538no—
890#533—534no—
891#533—534no—
892#533—534no—
893#533—534no—
894#533—532no—
895#533—538no—
896#533—534no—
897#533—531no—
898#533—532no—
899#533—532no—
900#533—531no—
901#533C2×D5312yes—
902#533C2×D5312yescomplemented
903#533C2×D5311yescharacteristic, complemented
904#532—531no—
905#532—532no—
906C2×C4⋊Q8—532no—
907C2×C4⋊Q8—532no—
908C2×C4⋊Q8—532no—
909C2×C4⋊Q8—531no—
910C2×C4⋊Q8C2×D5311yescharacteristic, complemented
911#529—538no—
912#529—532no—
913#529—532no—
914#529—532no—
915#529—532no—
916#529—532no—
917#529—532no—
918#529—538no—
919C2×#125—534no—
920#525—531no—
921#525—532no—
922#525—532no—
923#525—531no—
924C2×C22⋊Q8—534no—
925C2×C22⋊Q8—534no—
926#520—534no—
927#520—534no—
928#519—534no—
929#519—534no—
930#519—534no—
931#519—532no—
932#519C2×D5312yescomplemented
933C4×#41—532no—
934C4×#41—532no—
935C4×#41—531no—
936C4×#41C2×D5311yescharacteristic
937C2×C4×Q8—534no—
938C2×C4×Q8—534no—
939C2×#117—534no—
940C22×C42—531no—
941C53#6283711yescharacteristic, complemented, Sylow
942C2×#41—532no—
943C2×#41—532no—
944C2×#41—531no—
945C2×#41C22×D5311yescharacteristic
946C22×Q8—534no—
947C22×Q8—534no—
948C22×Q8—534no—
949C22×Q8—532no—
950C22×Q8C22×D5312yes—
951C23×C4—532no—
952C23×C4—531no—
953C4⋊Q8—534no—
954C4⋊Q8—534no—
955C4⋊Q8—534no—
956C4⋊Q8—531no—
957C4⋊Q8—538no—
958C4⋊Q8—534no—
959C4⋊Q8—538no—
960C4⋊Q8—534no—
961C4⋊Q8—534no—
962C4⋊Q8—534no—
963C4⋊Q8—534no—
964C4⋊Q8—534no—
965C4⋊Q8—534no—
966C4⋊Q8—532no—
967C4⋊Q8—538no—
968C4⋊Q8—538no—
969C4⋊Q8—538no—
970C4⋊Q8—538no—
971C4⋊Q8—538no—
972C4⋊Q8—538no—
973C4⋊Q8—532no—
974C4⋊Q8—532no—
975C4⋊Q8—532no—
976C4⋊Q8—534no—
977C4⋊Q8—538no—
978C4⋊Q8C22×D5312yes—
979C4⋊Q8C22×D5312yes—
980C4⋊Q8C22×D5312yes—
981C4⋊Q8C22×D5314yes—
982C4⋊Q8C22×D5314yes—
983#127—531no—
984#126—532no—
985#126—532no—
986#126—538no—
987#126—538no—
988#126—538no—
989#126—532no—
990#126—532no—
991#126—538no—
992#126—538no—
993#126—538no—
994#126—538no—
995#126—538no—
996#126—538no—
997#126—538no—
998#126—538no—
999#126—538no—
1000#126—538no—
1001#126—538no—
1002#126C22×D5318yes—
1003#126C22×D5318yes—
1004#125—538no—
1005#125—534no—
1006#125—534no—
1007#125—538no—
1008#125—532no—
1009#125—532no—
1010#125—532no—
1011#125—538no—
1012#125—538no—
1013#125—538no—
1014#125—538no—
1015#125—534no—
1016#125—534no—
1017#125—534no—
1018#125—538no—
1019#125—538no—
1020#125—538no—
1021#125—538no—
1022#125—538no—
1023#125—538no—
1024#125—538no—
1025#125—538no—
1026#125—538no—
1027#125—538no—
1028#125—538no—
1029#125—538no—
1030#125—534no—
1031#125—538no—
1032#125—532no—
1033#125—534no—
1034#125—538no—
1035#125—538no—
1036#125—538no—
1037#125C22×D5314yes—
1038#125C22×D5318yes—
1039#125C22×D5312yes—
1040#125C22×D5314yes—
1041#125C22×D5318yes—
1042#124—531no—
1043#124—531no—
1044#124—534no—
1045#124—532no—
1046#124—532no—
1047#124—538no—
1048#124—538no—
1049#124—538no—
1050#124C22×D5314yes—
1051#123—531no—
1052#123—531no—
1053#123—534no—
1054#123—534no—
1055#123—532no—
1056#123—532no—
1057#123—538no—
1058#123—538no—
1059#123—538no—
1060#123—532no—
1061#123—532no—
1062#123—532no—
1063#123—538no—
1064#123—538no—
1065#123—538no—
1066#123C22×D5314yes—
1067#123C22×D5314yes—
1068C22⋊Q8—534no—
1069C22⋊Q8—534no—
1070C22⋊Q8—532no—
1071C22⋊Q8—534no—
1072C22⋊Q8—534no—
1073C22⋊Q8—534no—
1074C22⋊Q8—538no—
1075C22⋊Q8—538no—
1076C22⋊Q8—534no—
1077C22⋊Q8—534no—
1078C22⋊Q8—534no—
1079C22⋊Q8—534no—
1080C22⋊Q8—534no—
1081C22⋊Q8—538no—
1082C22⋊Q8—538no—
1083C22⋊Q8—538no—
1084C22⋊Q8—538no—
1085C22⋊Q8—534no—
1086C22⋊Q8—534no—
1087C22⋊Q8—532no—
1088C22⋊Q8—532no—
1089C22⋊Q8—532no—
1090C22⋊Q8—534no—
1091C22⋊Q8—534no—
1092C22⋊Q8—534no—
1093C22⋊Q8—538no—
1094C22⋊Q8—538no—
1095C22⋊Q8—538no—
1096C22⋊Q8—538no—
1097C22⋊Q8—538no—
1098C22⋊Q8—538no—
1099C22⋊Q8—538no—
1100C22⋊Q8—538no—
1101C22⋊Q8—532no—
1102C22⋊Q8—532no—
1103C22⋊Q8—538no—
1104C22⋊Q8—538no—
1105C22⋊Q8C22×D5314yes—
1106C22⋊Q8C22×D5314yes—
1107C22⋊Q8C22×D5314yes—
1108C22⋊Q8C22×D5314yes—
1109C22⋊Q8C22×D5314yes—
1110#121—532no—
1111#121—532no—
1112#121—532no—
1113#121—532no—
1114#121—532no—
1115#121—532no—
1116#120—531no—
1117#120—531no—
1118#120—532no—
1119C4×Q8—534no—
1120C4×Q8—534no—
1121C4×Q8—534no—
1122C4×Q8—534no—
1123C4×Q8—534no—
1124C4×Q8—534no—
1125C4×Q8—534no—
1126C4×Q8—538no—
1127C4×Q8—538no—
1128C4×Q8—538no—
1129C4×Q8—534no—
1130C4×Q8—534no—
1131C4×Q8—538no—
1132C4×Q8—538no—
1133C4×Q8—534no—
1134C4×Q8—538no—
1135C4×Q8—538no—
1136C4×Q8—534no—
1137C4×Q8—538no—
1138C4×Q8—534no—
1139C4×Q8—538no—
1140C4×Q8—532no—
1141C4×Q8—532no—
1142C4×Q8—532no—
1143C4×Q8—532no—
1144C4×Q8—532no—
1145C4×Q8—538no—
1146C4×Q8—534no—
1147C4×Q8—534no—
1148C4×Q8—538no—
1149C4×Q8—534no—
1150C4×Q8—538no—
1151C4×Q8—538no—
1152C4×Q8C22×D5314yes—
1153C4×Q8C22×D5314yes—
1154C4×Q8C22×D5312yes—
1155C4×Q8C22×D5314yes—
1156C4×Q8C22×D5314yes—
1157C4×Q8C22×D5318yes—
1158C4×Q8C22×D5314yes—
1159C4×D4—532no—
1160C4×D4—532no—
1161C4×D4—532no—
1162C4×D4—532no—
1163C4×D4—532no—
1164C4×D4—532no—
1165C4×D4—532no—
1166C4×D4—532no—
1167C4×D4—532no—
1168C4×D4—532no—
1169C4×D4—538no—
1170C4×D4—538no—
1171C4×D4—538no—
1172C4×D4—538no—
1173C4×D4—538no—
1174C4×D4—532no—
1175C4×D4—532no—
1176C4×D4—532no—
1177C4×D4—532no—
1178C4×D4—532no—
1179C4×D4—538no—
1180C4×D4C22×D5312yes—
1181C4×D4C22×D5312yes—
1182C4×D4C22×D5312yes—
1183#117—534no—
1184#117—531no—
1185#117—532no—
1186#117—532no—
1187#117—532no—
1188#117—534no—
1189#117—534no—
1190#117—534no—
1191#117—538no—
1192#117—534no—
1193#117—538no—
1194#117—538no—
1195#117—534no—
1196#117—534no—
1197#117—538no—
1198#117—538no—
1199#117—538no—
1200#117—532no—
1201#117—532no—
1202#117—532no—
1203#117—532no—
1204#117—532no—
1205#117—538no—
1206#117—538no—
1207#117—538no—
1208#117C22×D5314yes—
1209#117C22×D5311yescharacteristic
1210#117C22×D5311yescharacteristic
1211#117C22×D5311yescharacteristic
1212#117C22×D5318yes—
1213#117C22×D5312yes—
1214#117C22×D5314yes—
1215C2×C4⋊C4—534no—
1216C2×C4⋊C4—534no—
1217C2×C4⋊C4—534no—
1218C2×C4⋊C4—534no—
1219C2×C4⋊C4—538no—
1220C2×C4⋊C4—538no—
1221C2×C4⋊C4—534no—
1222C2×C4⋊C4—534no—
1223C2×C4⋊C4—534no—
1224C2×C4⋊C4C22×D5314yes—
1225C2×C22⋊C4—538no—
1226C2×C42—532no—
1227C2×C42—531no—
1228C2×C42—538no—
1229C2×C42—532no—
1230C2×C42—532no—
1231C2×C42—532no—
1232C2×C42—532no—
1233C2×C42—532no—
1234C2×C42C22×D5311yescharacteristic
1235C2×C42C22×D5311yescharacteristic
1236C2×C42C22×D5311yescharacteristic
1237C24—531no—
1238#41—42no—
1239#41—1068no—
1240#41—1068no—
1241#41—2122no—
1242C2×Q8—44no—
1243C2×Q8—534no—
1244C2×Q8—538no—
1245C2×Q8—532no—
1246C2×Q8—532no—
1247C2×Q8—534no—
1248C2×Q8—538no—
1249C2×Q8—538no—
1250C2×Q8—534no—
1251C2×Q8—531no—
1252C2×Q8—10616no—
1253C2×Q8—2124no—
1254C2×Q8—2128no—
1255C2×Q8—2128no—
1256C2×Q8C23×D5314yes—
1257C2×Q8C23×D5314yes—
1258C2×Q8C23×D5314yes—
1259C2×Q8C23×D5311yescharacteristic
1260C2×D4—532no—
1261C2×D4—532no—
1262C2×D4—532no—
1263C2×D4—532no—
1264C2×D4—532no—
1265C2×D4—532no—
1266C2×D4—532no—
1267C2×D4—531no—
1268C2×D4C23×D5311yescharacteristic
1269C2×D4C23×D5311yescharacteristic
1270C2×D4C23×D5311yescharacteristic
1271C22×C4—532no—
1272C22×C4—532no—
1273C22×C4—531no—
1274C22×C4—534no—
1275C22×C4—532no—
1276C22×C4—532no—
1277C22×C4—532no—
1278C22×C4—532no—
1279C22×C4—538no—
1280C22×C4—532no—
1281C22×C4—532no—
1282C22×C4—532no—
1283C22×C4—532no—
1284C22×C4—538no—
1285C22×C4—538no—
1286C22×C4—1068no—
1287C22×C4—2122no—
1288C22×C4C23×D5312yes—
1289C22×C4C23×D5311yescharacteristic
1290C22×C4C23×D5312yes—
1291C22×C4C23×D5312yes—
1292C22×C4C23×D5311yescharacteristic
1293C22×C4C23×D5311yescharacteristic
1294C22×C4C23×D5314yes—
1295C4⋊C4—534no—
1296C4⋊C4—534no—
1297C4⋊C4—534no—
1298C4⋊C4—534no—
1299C4⋊C4—538no—
1300C4⋊C4—538no—
1301C4⋊C4—538no—
1302C4⋊C4—538no—
1303C4⋊C4—538no—
1304C4⋊C4—538no—
1305C4⋊C4—538no—
1306C4⋊C4—538no—
1307C4⋊C4—538no—
1308C4⋊C4—538no—
1309C4⋊C4—538no—
1310C4⋊C4—538no—
1311C4⋊C4—538no—
1312C4⋊C4—532no—
1313C4⋊C4—532no—
1314C4⋊C4—532no—
1315C4⋊C4—532no—
1316C4⋊C4—532no—
1317C4⋊C4—532no—
1318C4⋊C4—532no—
1319C4⋊C4—532no—
1320C4⋊C4—532no—
1321C4⋊C4—532no—
1322C4⋊C4—532no—
1323C4⋊C4—532no—
1324C4⋊C4—532no—
1325C4⋊C4—532no—
1326C4⋊C4—532no—
1327C4⋊C4—538no—
1328C4⋊C4—538no—
1329C4⋊C4—538no—
1330C4⋊C4—538no—
1331C4⋊C4—538no—
1332C4⋊C4—538no—
1333C4⋊C4—538no—
1334C4⋊C4—538no—
1335C4⋊C4—538no—
1336C4⋊C4C23×D5314yes—
1337C4⋊C4C23×D5314yes—
1338C4⋊C4C23×D5314yes—
1339C4⋊C4C23×D5314yes—
1340C4⋊C4C23×D5318yes—
1341C4⋊C4C23×D5318yes—
1342C4⋊C4C23×D5318yes—
1343C4⋊C4C23×D5318yes—
1344C4⋊C4C23×D5318yes—
1345C4⋊C4C23×D5312yes—
1346C4⋊C4C23×D5312yes—
1347C4⋊C4C23×D5312yes—
1348C4⋊C4C23×D5318yes—
1349C22⋊C4—538no—
1350C22⋊C4—534no—
1351C22⋊C4—531no—
1352C22⋊C4—531no—
1353C22⋊C4—532no—
1354C22⋊C4—532no—
1355C22⋊C4—532no—
1356C22⋊C4—532no—
1357C22⋊C4—538no—
1358C22⋊C4—538no—
1359C22⋊C4—538no—
1360C22⋊C4—532no—
1361C22⋊C4—532no—
1362C22⋊C4—532no—
1363C22⋊C4—532no—
1364C22⋊C4—532no—
1365C22⋊C4—532no—
1366C22⋊C4—538no—
1367C22⋊C4—532no—
1368C22⋊C4—532no—
1369C22⋊C4—532no—
1370C22⋊C4—532no—
1371C22⋊C4—538no—
1372C22⋊C4—538no—
1373C22⋊C4C23×D5318yes—
1374C22⋊C4C23×D5312yes—
1375C22⋊C4C23×D5312yes—
1376C22⋊C4C23×D5314yes—
1377C22⋊C4C23×D5318yes—
1378C22⋊C4C23×D5312yes—
1379C42—532no—
1380C42—532no—
1381C42—532no—
1382C42—532no—
1383C42—531no—
1384C42—532no—
1385C42—531no—
1386C42—538no—
1387C42—532no—
1388C42—532no—
1389C42—532no—
1390C42—538no—
1391C42—538no—
1392C42—538no—
1393C42—538no—
1394C42—538no—
1395C42—534no—
1396C42—538no—
1397C42C23×D5311yescharacteristic
1398C42C23×D5311yescharacteristic
1399C42C23×D5312yes—
1400C42C23×D5318yes—
1401C42C23×D5312yes—
1402C42C23×D5312yes—
1403C42C23×D5311yescharacteristic
1404C42C23×D5311yescharacteristic
1405C42C23×D5314yes—
1406C42C23×D5318yes—
1407C23—532no—
1408C23—532no—
1409C23—1064no—
1410C23—2121no—
1411C23C24×D5311yescharacteristic
1412C23C24×D5311yescharacteristic
1413C23C24×D5311yescharacteristic
1414Q8—28no—
1415Q8—28no—
1416Q8—44no—
1417Q8—41no—
1418Q8—10616no—
1419Q8—1064no—
1420Q8—1064no—
1421Q8—1068no—
1422Q8—1068no—
1423Q8—2124no—
1424Q8—2128no—
1425Q8—2128no—
1426Q8—2121no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—1064no—
1431D4—1064no—
1432D4—1064no—
1433D4—1064no—
1434D4—1064no—
1435D4—1064no—
1436D4—2121no—
1437D4—2122no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—44no—
1445C2×C4—532no—
1446C2×C4—538no—
1447C2×C4—538no—
1448C2×C4—532no—
1449C2×C4—532no—
1450C2×C4—532no—
1451C2×C4—532no—
1452C2×C4—532no—
1453C2×C4—538no—
1454C2×C4—1064no—
1455C2×C4—1064no—
1456C2×C4—10616no—
1457C2×C4—1064no—
1458C2×C4—1064no—
1459C2×C4—1064no—
1460C2×C4—1064no—
1461C2×C4—1064no—
1462C2×C4—1064no—
1463C2×C4—2122no—
1464C2×C4—2128no—
1465C2×C4—2128no—
1466C2×C4—2121no—
1467C2×C4—2124no—
1468C2×C4C24×D5312yes—
1469C2×C4C24×D5311yescharacteristic
1470C2×C4C24×D5312yes—
1471C2×C4C24×D5318yes—
1472C2×C4C24×D5318yes—
1473C2×C4C24×D5311yescharacteristic
1474C2×C4C24×D5311yescharacteristic
1475C2×C4C24×D5312yes—
1476C2×C4C24×D5312yes—
1477C2×C4C24×D5311yescharacteristic
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—21no—
1482C22—21no—
1483C22—21no—
1484C22—534no—
1485C22—1062no—
1486C22—1062no—
1487C22—1062no—
1488C22—1062no—
1489C22—1062no—
1490C22—2124no—
1491C22C25×D5311yescharacteristic
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—28no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—28no—
1500C4—534no—
1501C4—1062no—
1502C4—1062no—
1503C4—1062no—
1504C4—1068no—
1505C4—1062no—
1506C4—1062no—
1507C4—1068no—
1508C42−1+4×D5314yes—
1509C4#1681145912yes—
1510C2—41no—
1511C2—41no—
1512C2—41no—
1513C2—1064no—
1514C2—2122no—
1515C2C2×2−1+4×D5312yes—
1516C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3509C2
prime radical#20288008C2
hypercenter#3509D53
hypocenterC53#62837
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3509

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289322C2semidirect
2. #20289311C2semidirect
3. #20289208C2semidirect
4. #20289198C2semidirect
5. #20289190C2semidirect
6. #20289124C2semidirect
7. #20288963C2semidirect
8. #20288958C2semidirect
9. #20288807C2semidirect
10. #20288805C2semidirect
11. #20288601C2semidirect
12. #20288594C2semidirect
13. #20288594C2semidirect
14. #20288594C2semidirect
15. #20288574C2semidirect
16. #20288531C2semidirect
17. #20288527C2semidirect
18. #20288522C2semidirect
19. #20288466C2semidirect
20. #20288460C2semidirect
22. #533×D53C2semidirect
23. C53×#3509C2semidirect
24. C53⋊#564C22semidirect
26. #16811376C22semidirect
29. #16811372C22semidirect
30. #16811357C22semidirect
31. Q8×Dic106C22semidirect
32. #16811353C22semidirect
33. #16811353C22semidirect
34. #16811351C22semidirect
35. #16811351C22semidirect
36. #16811351C22semidirect
37. #16811350C22semidirect
38. #16811350C22semidirect
39. #16811350C22semidirect
40. #16811350C22semidirect
41. #16811350C22semidirect
42. #16811349C22semidirect
43. #16811349C22semidirect
44. #16811349C22semidirect
45. #16811348C22semidirect
47. #16811344C22semidirect
48. #16811344C22semidirect
51. #16811341C22semidirect
52. #16811341C22semidirect
53. #16811341C22semidirect
54. #16811340C22semidirect
58. #16811331C22semidirect
60. #16811328C22semidirect
64. #16811314C22semidirect
66. #16811313C22semidirect
73. #16811311C22semidirect
85. Q8×C22⋊D53C22semidirect
87. #16811286C22semidirect
88. #16811254C22semidirect
91. #16811253C22semidirect
92. #16811251C22semidirect
95. #16811250C22semidirect
99. #16811235C22semidirect
100. #16811235C22semidirect
102. #16811233C22semidirect
103. #16811233C22semidirect
104. #16811232C22semidirect
105. #16811231C22semidirect
106. #16811231C22semidirect
107. #16811231C22semidirect
108. #16811231C22semidirect
111. #16811230C22semidirect
119. #16811180C22semidirect
120. #16811180C22semidirect
125. #16811178C22semidirect
126. #16811178C22semidirect
127. #16811178C22semidirect
138. C2×#13133217C22semidirect
141. C4⋊Q8×D53C22semidirect
159. #16811100C22semidirect
162. #16811099C22semidirect
170. C53×#557C22semidirect
173. C53×#552C22semidirect
175. C53×#541C22semidirect
178. C53×#533C22semidirect
179. C53×#533C22semidirect
180. C2×C4⋊Q8×C53C22semidirect
181. C53×#519C22semidirect
766. #3509D53semidirect
804. #557C2×D53semidirect
840. #552C2×D53semidirect
875. #541C2×D53semidirect
902. #533C2×D53semidirect
903. #533C2×D53semidirect
910. C2×C4⋊Q8C2×D53semidirect
932. #519C2×D53semidirect
941. C53#62837semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202893222
#202893112
#202892082
#202891982
#202891902
#202891242
#202889632
#202889582
#202888072
#202888052
#202886012
#202885942
#202885742
#202885312
#202885272
#202885222
#202884662
#202884602
#202880082
#533×D532
C53×#35092
#6283753